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Finding the Fourth Proportional to 6,991.15, 9,648.42 and 3,847.54

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Solution

The fourth proportional to 6,991.15, 9,648.42 and 3,847.54 is: 5,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.15 : 9,648.42 = 3,847.54 : x
  2. Step 2: Convert to fraction form
    6,991.15/9,648.42 = 3,847.54/x
  3. Step 3: Cross multiply
    6,991.15x = 9,648.42 × 3,847.54
  4. Step 4: Simplify right side
    6,991.15x = 37,122,633.64
  5. Step 5: Solve for x
    x = 37,122,633.64/6,991.15
  6. Step 6: Final answer
    x = 5,309.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.